If you can swing it, visit Great Smoky Mountains National Park in spring, when the wildflowers are firing off their rainbow-colored blooms. But there’s plenty to do at other times of the year as well: go horseback riding (there are four rental stables); hike more than 800 miles of trails through spruce-fir forests; or bring your fishing gear and see if the trout are biting. Climb to the top of Clingmans Dome for magnificent tree-top vistas.